Linear differential equations with almost periodic coefficients
Linear differential equations with almost periodic coefficients
复制标题
DOI：
10.1215/s0012-7094-35-00124-7
复制
发表时间：
1935-09
期刊：
影响因子：
3.7
通讯作者：
R. Cameron
中科院分区：
文献类型：
--
作者：
R. Cameron
d ~ ( t ) a , l ( t ) ~ ( t ) + . . . + a~,~(t)~,(t) + fl~(t); d t in which the funct ions a, , (t) and fir are real or complex a.p.~ functions of the real variable t, and the fit(t) may or may not be identically zero. We shall seek to determine conditions under which the solutions of (I. II) are of a ra ther general type involving a.p. functions. Before characterizing this type of solution more explicitly, we shall introduce a shorter vector terminology. I . z . Troughout this paper we shall use the letters x, y, z, and b to denote n-dimensional vectors (or matrices of n rows and one column) having the compod t ., nents ~1 . . . . , ~,~; V~, . . . , Vn; ~,, . . . , ~ ; and i l l , . . . , fl~. The vector ~-t~L(), . . d d--t~(t) will be denoted by D Ix]; the n-by-n matr ix whose elements are a , , will
